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Finding the Fourth Proportional to 7,672.92, 11,511.54 and 2,479.20

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Solution

The fourth proportional to 7,672.92, 11,511.54 and 2,479.20 is: 3,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.92 : 11,511.54 = 2,479.20 : x
  2. Step 2: Convert to fraction form
    7,672.92/11,511.54 = 2,479.20/x
  3. Step 3: Cross multiply
    7,672.92x = 11,511.54 × 2,479.20
  4. Step 4: Simplify right side
    7,672.92x = 28,539,409.97
  5. Step 5: Solve for x
    x = 28,539,409.97/7,672.92
  6. Step 6: Final answer
    x = 3,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.